Mixed state sensitivity of several quantum information benchmarks

Peters, Nicholas A.; Wei, Tzu-Chieh; Kwiat, Paul G.

Mixed state sensitivity of several quantum information benchmarks

Authors

Peters, Nicholas A.

Wei, Tzu-Chieh

Kwiat, Paul G.

Description

We investigate an imbalance between the sensitivity of the common state measures--fidelity, trace distance, concurrence, tangle, von Neumann entropy and linear entropy--when acted on by a depolarizing channel. Further, in this context we explore two classes of two-qubit entangled mixed states. Specifically, we illustrate a sensitivity imbalance between three of these measures for depolarized (i.e., Werner-state like) nonmaximally entangled and maximally entangled mixed states, noting that the size of the imbalance depends on the state's tangle and linear entropy.
6 pages, 3 figures; corrected typos and expression (17)